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Calculus, MET1 2024 VCAA 3

Let  .

  1. On the axes below, sketch the graph of  ,  labelling all asymptotes with their equations and axis intercepts with their coordinates.   (3 marks)


  2. Determine the area of the region bounded by the line  ,  the -axis, the -axis and the graph of .   (2 marks)

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a.

b.   

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a.   

b.   

 
   
   
   
   
   
♦ Mean mark (b) 40%.

Graphs, MET1 EQ-Bank 1

Let  .

  1. On the axes below, sketch the graph of . Label any asymptotes with their equations, and endpoints and axial intercepts with their coordinates.   (3 marks)

  1. Find the values of for which .   (2 marks)

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a.
   

b.   

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a.
     

b.     

Graphs, MET1 2021 VCAA 4

  1. Sketch the graph of    on the axes below. Label asymptotes with their equations and axis intercepts with their coordinates.   (3 marks)

     

     

  2. Find the values of    for which  .   (1 mark)

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a. 

b.

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a.   

♦ Mean mark part (b) 32%.

b.